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Centre-by-metabelian groups with a condition on infinite subsets
Trabelsi, Nadir

Data: 2003
Resum: In this note, we consider some combinatorial conditions on infinite subsets of groups and we obtain in terms of these conditions some characterizations of the classes L(Nk)F and FL(Nk) for the finitely generated centre-by-metabelian groups, where L(Nk) (respectively, F) denotes the class of groups in which the normal closure of each element is nilpotent of class at most k (respectively, finite groups).
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: Article ; recerca ; article ; publishedVersion
Matèria: Engel conditions ; Finitely generated soluble groups ; Levi classes ; Nilpotent groups
Publicat a: Publicacions matematiques, V. 47 N. 2 (2003) , p. 451-457, ISSN 0214-1493

DOI: 10.5565/PUBLMAT_47203_08

7 p, 120.1 KB

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